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Monday 23 November 2009

Numerical Sequence / Series Test

In a numerical sequence or series test it is necessary to identify a pattern that is occurring in the sequence.The numbers in the sequence may be progressing, or they may be decreasing. In some cases they may be both progressing and decreasing within the sequence, and in some cases two separate  sequences may be interwoven. It is up to you to determine which of these is occurring and to continue the sequence by providing  the missing number(s) indicated by the question mark(s) in each  question.

The use of a calculator is not permitted in this test.

A time limit of 20 minutes is allowed in which to complete the 15 questions.


1.
0, 1, 2, 3, 5, 7, 9, 12, 15, 18, ?

2.
3, 6, 12, 21, 33, ?

3.
1000, 975, 925, 850, 750, ?

4.
1, 10, 2.5, 7.5, 4, 5, ?, ?

5.
12, 8.5, 5, 1.5, ?

6.
8, 16, 64, 128, 512, 1024, ?

7.
12, 11, 9, 6, 2, ?

8.
1, 1.5, 3, 7.5, 21, ?

9.
2, 6, 9, 27, 30, 90, 93, ?

10.
5, 6, 7, 8, 10, 12, 14, 20, ?, ?

11.
100, 99, 96, 91, 84, 75, 64, ?

12.
19, 38, 57, 76, 95, 114, ?

13.
2, 5, 12, 27, 58, 121, ?

14.
10, 9.75, 9.25, 8.5, 7.5, 6.25, ?

15.
10, 11.75, 9.25, 11, 8.5, ?


Answers


1. 22
Add 1, 1, 1, 2, 2, 2, 3, 3, 3, 4.
2. 48
Add 3, 6, 9, 12, 15.
3. 625
Deduct 25, 50, 75, 100, 125.
4. 5.5, 2.5
There are two interwoven sequences: starting at 1 add 1.5;
starting at 10 deduct 2.5.
5. –2
Deduct 3.5 at each stage.
6. 4096
×2, ×4 repeated
7. –3
–1, –2, –3, –4, –5
8. 61.5
The amount added on is multiplied by 3 each time, ie 0.5,1.5, 4.5, 13.5, 40.5.

9. 279
×3, +3 repeated.

10. 19, 36
There are two interwoven sequences: starting at 5 add 2, 3, 4,
5; starting at 6 add 2, 4, 8, 16.

11. 51
Deduct 1, 3, 5, 7, 9, 11, 13.
12. 133
Add 19 each time.
13. 248
×2+1, ×2+2, ×2+3, ×2+4, ×2+5, ×2+6
14. 4.75
–0.25, –0.5, –0.75, –1, –1.25, –1.5
15. 10.25
+1.75, –2.5, +1.75, –2.5, +1.75


Assessment

Score 1 point for each correct answer.
Total score
Rating
Percentage of population
14–15
Genius level
Top 5%
13
High expert
Top 10%
11–12
Expert
Top 30%
10
High average
Top 40%
8–9
Middle average
Top 60%
7
Low average
Bottom 40%
5–6
Borderline low
Bottom 30%
3–4
Low
Bottom 10%
0–2
Very low
Bottom 5%

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